Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480bd |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-140458223404800 = -1 · 28 · 34 · 52 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28420,1920800] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:1890:1] |
Generators of the group modulo torsion |
j |
-9916793018153296/548664935175 |
j-invariant |
L |
8.2827861844339 |
L(r)(E,1)/r! |
Ω |
0.57412136745895 |
Real period |
R |
0.90168066521963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960g1 118440v1 |
Quadratic twists by: -4 -3 |